Diassociativity in Conjugacy Closed Loops

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Title:	Diassociativity in Conjugacy Closed Loops
Author:	Michael K. Kinyon ; Kenneth Kunen ; J. D. Phillips
Keyword:	Conjugacy closed loop ; Diassociative ; Power associative ; Weak inverse property ; Holomorph
Source:	Communications in Algebra
Issued Date:	2004
Volume:	32, Issue:2, Pages:767 - 786
Indexed Type:	其他
Cooperation Status:	其它
Abstract:	Let Q be a conjugacy closed loop, and N(Q) its nucleus. Then Z(N(Q)) contains all associators of elements of Q. If in addition Q is diassociative (i.e., an extra loop), then all these associators have order 2. If Q is power-associative and \|Q\| is finite and relatively prime to 6, then Q is a group. If Q is a finite non-associative extra loop, then 16 ∣ \|Q\|.
Language:	英语
Content Type:	期刊论文
URI:	http://ir.iscas.ac.cn/handle/311060/1337
Appears in Collections:	软件所图书馆_期刊论文

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Recommended Citation:

Michael K. Kinyon,Kenneth Kunen,J. D. Phillips. Diassociativity in Conjugacy Closed Loops[J]. Communications in Algebra,2004-01-01,32(2):767 - 786.

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